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Original Articles

Zhikov's hydromechanical lemma on compensated compactness: its extension and application to generalized stationary Navier–Stokes equations

Pages 697-714 | Received 15 Apr 2010, Accepted 19 Apr 2010, Published online: 16 Mar 2011

References

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  • Zhikov , VV . 2009 . On the technique of passing to the limit in nonlinear elliptic equations (in Russian) . Funkts. Anal. Prilozh. , 43 ( 2 ) : 19 – 38 . [Translated in Funct. Anal. Appl. 43(2)(2009), pp. 96–112]
  • Zhikov , VV . 2010 . On the problem of convergence of flows to flow (in Russian) . Dokl. Acad. Nauk , 430 : 439 – 443 .
  • F. Murat, Compacité par compensation, Ann. Scuola Norm. Super. Pisa, Cl. Sci. Fis. Mat. 5(3) (1978), pp. 89–107.
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  • Zhikov , VV and Pastukhova , SE . 2008 . Improved integrability of the gradients of solutions of elliptic equations with variable nonlinearity exponent (in Russian) . Mat. Sb. , 199 ( 12 ) : 19 – 52 . [Translated in Sb.: Math. 199(12) (2008), pp. 1–33]
  • Bogovskii , ME . 1979 . Solutions of the first boundary value problem for an equation of continuity of an incompressible medium (in Russian) . Dokl. Acad. Nauk SSSR , 248 : 1037 – 1040 .

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